3 papers
cs.CC2023
An Exponential Lower Bound for Linear 3-Query Locally Correctable Codes
Pravesh K. Kothari, Peter Manohar
We prove that the blocklength of a linear -query locally correctable code (LCC) with distance must be at least $n \g…
cs.CC2023
Efficient Algorithms for Semirandom Planted CSPs at the Refutation Threshold
Venkatesan Guruswami, Jun-Ting Hsieh, Pravesh K. Kothari +1
We present an efficient algorithm to solve semirandom planted instances of any Boolean constraint satisfaction problem (CSP). The semirandom model is a hybrid between worst-case an…
cs.CC2023
A Near-Cubic Lower Bound for 3-Query Locally Decodable Codes from Semirandom CSP Refutation
Omar Alrabiah, Venkatesan Guruswami, Pravesh K. Kothari +1
A code is a -locally decodable code (-LDC) if one can recover any chosen bit of the message with good confidence by…